The second equation follows as well. Provided that , then by taking the power of both sides of the equation, we have:

.

I'm not sure what you are going to use these facts to solve, but each of these steps are correct. Are you certain that ? Are we speaking in terms of hypothetical? Imaginary numbers are tricky, it would help if I knew where you were coming from.

I suspect that each of these steps are correct, but that the premise may be in error.